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Type II Half Logistic Family of Distributions with Applications
Author(s):
1. Muhammad Shakil: Miami Dade College,Hialeah, FL 33012,USA.
2. Amal Soliman Hassan: Institute of Statistical Studies and Research (ISSR) Cairo University, Department of Mathematical Statistics. Cairo, Eygpt.
3. Muhammad Elgarhy: Vice Presidency for Graduate Studies and Scientific Research, Jeddah University Institute of Statistical Studies and Research (ISSR), Cairo University Department of Mathematical Statistics
Abstract:
A new family of distributions called the type II half logistic is introduced and studied. Four new special models are presented. Some mathematical properties of the type II half logistic family are studied. Explicit expressions for the moments, probability weighted, quantile function, mean deviation, order statistics and Rényi entropy are investigated. Parameter estimates of the family are obtained based on maximum likelihood procedure. Two real data sets are employed to show the usefulness of the new family. 
Page(s): 245-264
Published: Journal: Pakistan Journal of Statistics and Operation Research, Volume: 13, Issue: 2, Year: 2017
Keywords:
maximum likelihood method , Order statistics , Half logistic distribution
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